♾️ap calculus ab/bc review

key term - Limit

Definition

The limit of a function is the value that the function approaches as the input approaches a certain value or infinity. It represents the behavior of the function near a specific point.

"Limit" also found in:

Subjects (9)

AP European History
AP US Government
Calculus I
Calculus II
College Algebra
History of Science
Honors Algebra II
Honors Pre-Calculus
Intermediate Algebra

Practice Questions (90+)

What does a limit represent in calculus?
For the function f(x) = x + 1, what is the limit of f(x) as x approaches 4?
What does the limit of a function represent as x approaches infinity?
If the limit of a function as x approaches a certain value exists, does it guarantee that the function is defined at that point?
What is the limit of the function f(x) = 2x - 3 as x approaches infinity?
If the limit of a function as x approaches a certain value is equal to the value of the function at that point, what can be concluded?
What does it mean if the limit of a function does not exist?
Which statement accurately describes the behavior of a function with a limit of 0 as x approaches infinity?
What is the limit of the function f(x) = 3x^2 - 2x + 1 as x approaches 2?
Which of the following statements is true regarding the limit of a constant function?
If the limit of a function as x approaches a certain value is L, and the limit as x approaches that value from the opposite side is M, what can be concluded?
What is the limit of the function f(x) = sin(x) / x as x approaches 0?
What is the limit of the function f(x) = 1/x as x approaches infinity?
Consider the graph of a function f. As x approaches a certain value from both sides, the y-values converge to the same value. What can be concluded about the limit of f as x approaches that value?
For a function f, as x approaches a certain value from both sides, the y-values diverge and do not approach the same value. What can be concluded about the limit of f as x approaches that value?
If the y-values from the left side and the right side of a specific x-value are different on a graph, what can be concluded about the limit at that x-value?
On a graph, the function f(x) approaches positive infinity as x approaches a certain value. What can be concluded about the limit of f as x approaches that value?
When estimating a limit value from a graph, if the y-values from the left and right sides approach different infinities (positive and negative), what can be concluded about the limit?
For a function f, as x approaches a certain value, the y-values oscillate between two distinct values. What can be concluded about the limit of f as x approaches that value?
When estimating a limit value from a graph, if the y-values from the left and right sides approach different finite values, what can be concluded about the limit?
On a graph, the function f(x) approaches negative infinity as x approaches a certain value from the left side. What can be concluded about the limit of f as x approaches that value?
Consider a graph where the function f(x) approaches a specific y-value as x approaches positive infinity. What can be concluded about the limit of f as x approaches positive infinity?
Consider a graph where the function f(x) approaches positive infinity as x approaches both positive and negative infinity. What can be concluded about the limit of f as x approaches infinity?
When estimating a limit value from a graph, if the y-values from the left and right sides approach positive infinity, what can be concluded about the limit?
When estimating a limit value from a graph, if the y-values from the left and right sides approach negative infinity, what can be concluded about the limit?
When estimating a limit value from a graph, if the y-values from the left and right sides approach different values and the difference between these values increases without bound, what can be concluded about the limit?
How should the x-values be chosen when creating a table to estimate a limit value?
What does the limit of f(x) = (x - 3)/(x^2 - 9) as x approaches 3 represent?
When estimating a limit value from a table, why is it important to choose x-values that get infinitely close to the target value?
What can we conclude about the limit of f(x) = (x - 3)/(x^2 - 9) as x approaches 3 based on the table given in the study guide?
What can we conclude about the limit of f(x) as x approaches 3 based on the table?
How can estimating limit values from tables help in understanding limits?
Consider the expression h(x) = -4(2x - 1)^2. Find the limit of the expression as x approaches 1.
Consider the function f(x) = √(x) + 2x. Find the limit as x approaches 4.
Find the limit of the function f(x) = (3x^2 - 4x + 2) / (2x^2 - 5x + 3) as x approaches 1.
True or False: the limit of h(x)=(x^2-4)/(x-2) as x approaches 2 is 4.
True or False: the limit of a constant a constant.
Find the limit (x→2)(3x^2-2x+5).
Find the limit of the function f(x)=(2x^2-5x+3)/(x-2) as x approaches 2.
What is the limit of (x^2 - 4)/(x - 2) as x approaches 2?
What is the limit of (3x - 5)/(2x + 1) as x approaches -1?
What is the limit of (2x^2 + 5x - 3)/(3x^2 + 2x - 1) as x approaches 1?
What is the limit of (sin(x))/(x) as x approaches 0?
What is the limit of (x^3 + 2x^2 + x)/(x^2 + 3x + 2) as x approaches -1?
What is the limit of (x^3 - 8)/(x - 2) as x approaches 2?
What is the limit of (x^2 - 5x + 6)/(x - 3) as x approaches 3?
What is the limit of (2x^3 + 3x^2 - 4x)/(x^2 - 1) as x approaches 1?
What is the limit of (sqrt(x) - 1)/(x - 1) as x approaches 1?
What is the limit of (e^x - 1)/(x) as x approaches 0?
What is the limit of (sin(2x))/(x) as x approaches 0?
What is the limit of (4x^3 - 2x)/(3x^2 + 5) as x approaches ∞?
What is the limit of (2^x - 1)/(x) as x approaches 0?
What is the limit of (ln(x + 1))/(x) as x approaches 0?
What is the limit of (3x^2 - 4)/(5x^2 + 2x) as x approaches -∞?
How can a graph or table be used to approximate a limit?
Determine the limit as x approaches 3 of the function f(x)=3x+9.
Determine the limit as x approaches 2 of the function f(x)=(6x+3)/(x-2).
Determine the limit as x approaches 2 of the function f(x)=(2x-4)/(x-2).
What is the limit of f(x) = sin(1/x) * x^2 as x approaches 0?
What is the limit of f(x) = sqrt(x^2 + 1) as x approaches infinity?
What is the limit of f(x) = (e^x + e^(-x))/2 as x approaches infinity?
What is the limit of f(x) = (x^2 - 2x + 1)/(x^2 - 1) as x approaches 1?
What is the limit of f(x) = x^2 cos(1/x) as x approaches 0?
What is the limit of f(x) = (x^3 - x^2)/(x^2 + x) as x approaches -∞?
What is the limit of f(x) = (sin(x) + x)/(x^2 + x) as x approaches 0?
What is the limit of f(x) = (x^3 - 2x^2 + 1)/(x^2 + 1) as x approaches infinity?
What is the limit of f(x) = x sin(1/x) as x approaches 0?
What is the limit of f(x) = (e^x - 1)/x as x approaches 0?
What is the limit of f(x) = (1 - cos(x))/x^2 as x approaches 0?
What is the limit of f(x) = (sin(x) - x)/(x^3 - x^2) as x approaches 0?
Find the limit of f(x) = (e^x - x^2)/(e^x + x^2) as x approaches infinity.
We can use the information from each representation to gain a more complete understanding of the behavior of a function at a limit.
Which representation of limits provides a numerical approximation of the limit but is not an exact solution?
What is the limit of the function m(x) = (x-2)/(x^2+4) as x approaches 2?
What is the limit of the function f(x) = 3x^2 + 2x + 1 as x approaches infinity?
What is the limit of the function k(x) = e^x as x approaches negative infinity?
What is the limit of the function m(x) = ln(x) as x approaches infinity?
What is the limit of the function q(x) = sqrt(x) as x approaches 9?
What is the limit of the function f(x) = 2x + 1 as x approaches positive infinity?
What is the limit of the function f(x) = cos(1/x) as x approaches positive infinity?
What is the limit of the function f(x) = 100x + 2x^7 as x approaches negative infinity?
What is the limit of the function f(x) = x^3 + 10x - 42 as x approaches positive infinity?
What is the limit of the function f(x) = (2x^2 + 10x)/(3x^2 + 5) as x approaches positive infinity?
What is the limit of the function f(x) = 3x - 2 as x approaches negative infinity?
What is the limit of the function f(x) = x^7 - x as x approaches positive infinity?
What is the limit of the function f(x) = (x-2)/(x^2+4) as x approaches positive infinity?
What is the limit of the function f(x) = -2x^2 - 3x + 1 as x approaches negative infinity?
For which type of improper integral do we consider the limit as the upper limit of integration approaches infinity?
Which property allows us to evaluate an improper integral by integrating over a bounded interval and then taking a limit?
If the limit of the ratio between the terms of two series is equal to infinity, what can be concluded about their convergence?

♾️ap calculus ab/bc review

key term - Limit

Definition

"Limit" also found in:

Subjects (9)

Practice Questions (90+)

history

social science

english & capstone

arts

science

math & computer science

world languages

high school exams

honors classes

college classes

history

social science

english & capstone

arts

science

math & computer science

world languages

high school exams

honors classes

college classes

♾️ap calculus ab/bc review

key term - Limit

Definition

Related terms

"Limit" also found in:

Subjects (9)

Practice Questions (90+)

history

social science

english & capstone

arts

science

math & computer science

world languages

high school exams

honors classes

college classes